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Finding the Fourth Proportional to 413,682.84, 570,864.24 and 252,807.12

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Solution

The fourth proportional to 413,682.84, 570,864.24 and 252,807.12 is: 348,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,682.84 : 570,864.24 = 252,807.12 : x
  2. Step 2: Convert to fraction form
    413,682.84/570,864.24 = 252,807.12/x
  3. Step 3: Cross multiply
    413,682.84x = 570,864.24 × 252,807.12
  4. Step 4: Simplify right side
    413,682.84x = 144,318,544,425.39
  5. Step 5: Solve for x
    x = 144,318,544,425.39/413,682.84
  6. Step 6: Final answer
    x = 348,862.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.